Question

. If 26X + 24Y = 100 ; 24X + 26Y = 200 , find X+Y

a) 3 b) 4 c) 5 d) 6​

Answer 1

Answer:. 5

Step-by-step explanation:

26x+24y=100______(1)

24x+26y=200_____(2)

We add eq (1) and (2)

26x+24y=100

24x+26y=200

______________

30x+30y=30

divide by 30

x+y=30_____________(3)

we sub eq (1) and (2)

24x+26y=200

26x+24y=100

_ _ _

_______________

-2x+2y=100_____________(4)

divide by 2

-x+y=50

we add eq (3) and (4)

x+y=30

+(-x)+y=50

____________

2y=50

y=25

put y in (3) eq

y=25

x+y=30

x+25=30

x=30-25

x=5